800304256 has 64 divisors (see below), whose sum is σ = 1656408600. Its totient is φ = 384860160.

The previous prime is 800304233. The next prime is 800304299. The reversal of 800304256 is 652403008.

800304256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 664814656 + 135489600 = 25784^2 + 11640^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382060 + ... + 384148.

Almost surely, 2^800304256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828204300).

800304256 is an abundant number, since it is smaller than the sum of its proper divisors (856104344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800304256 is a wasteful number, since it uses less digits than its factorization.

800304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 800304256 is about 28289.6492731882. The cubic root of 800304256 is about 928.4354377439.

The spelling of 800304256 in words is "eight hundred million, three hundred four thousand, two hundred fifty-six".